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प्रश्न
In a multiple-choice question, there are three options out of which only one is correct. A person is guessing the answer at random. If there are 7 such questions, then the probability that he will get exactly 4 correct answers is ______
पर्याय
`8/3^7`
`16/3^7`
`280/3^7`
`560/3^7`
MCQ
रिकाम्या जागा भरा
उत्तर
In a multiple-choice question, there are three options out of which only one is correct. A person is guessing the answer at random. If there are 7 such questions, then the probability that he will get exactly 4 correct answers is `underline(280/3^7)`.
Explanation:
The probability of correct guess is p = `1/3`
∴ q = `1 - 1/3 = 2/3`
Also, n = 7
∴ Required probability = P (X = 4)
= `""^7"C"_4 (1/3)^4(2/3)^3`
= `280/3^7`
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